Detail publikace

Fractional Integration and Differentiation of Asymptotic Relations and Applications

ŘEHÁK, P.

Anglický název

Fractional Integration and Differentiation of Asymptotic Relations and Applications

Typ

Článek WoS

Jazyk

en

Originální abstrakt

The main results of this paper show how asymptotic relations are preserved when integrated or differentiated in the sense of fractional operators. In some of them, the concept of regular variation plays a role. We derive a fractional extension of the Karamata integration theorem and of the monotone density theorem, among others. We offer several approaches that provide deeper insight into relationships between different concepts. Illustrative applications in fractional differential equations are also presented.

Klíčová slova anglicky

asymptotic relations; fractional calculus; fractional differential equations; Karamata theorem; regular variation

Vydáno

2025-04-01

Nakladatel

WILEY

Místo

HOBOKEN

ISSN

1099-1476

Ročník

48

Číslo

6

Strany od–do

6381–6395

Počet stran

15

BIBTEX


@article{BUT197374,
  author="Pavel {Řehák}",
  title="Fractional Integration and Differentiation of Asymptotic Relations and Applications",
  journal="MATHEMATICAL METHODS IN THE APPLIED SCIENCES",
  year="2025",
  volume="48",
  number="6",
  pages="6381--6395",
  doi="10.1002/mma.10679",
  issn="0170-4214",
  url="https://onlinelibrary.wiley.com/doi/10.1002/mma.10679"
}